The k-space trajectory, in addition to the RF, possesses
powerful degrees of freedom to enhance 3D parallel
selective excitations. A novel approach on rapidly
designing arbitrarily shaped time-optimal trajectories
was used to simultaneously optimize the trajectory and
RF pulse. The trajectory was defined by shape parameters
that were optimized for a cubic ROI and brain only
excitation. Two trajectories were optimized a 3D Cross
and a 3D Concentric Shells trajectory with durations
of less than 7 ms each. The excitation RMSE could be
reduced by up to 60% in an eight channel 7T setup,
yielding applicable 3D selective excitation pulses.

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